A first-order stabilization-free Virtual Element Method
Stefano Berrone, Andrea Borio, Francesca Marcon, Gioana Teora
Abstract
In this paper, we introduce a new Virtual Element Method (VEM) not requiring any stabilization term based on the usual enhanced first-order VEM space. The new method relies on a modified formulation of the discrete diffusion operator that ensures stability preserving all the properties of the differential operator.
Topics & Concepts
MathematicsOperator (biology)Element (criminal law)Term (time)Stability (learning theory)Differential operatorOrder (exchange)Space (punctuation)Applied mathematicsMathematical optimizationCalculus (dental)Mathematical analysisComputer scienceRepressorPhysicsBiochemistryQuantum mechanicsMedicineEconomicsPolitical scienceDentistryFinanceGeneOperating systemMachine learningChemistryTranscription factorLawAdvanced Numerical Methods in Computational MathematicsElectromagnetic Simulation and Numerical MethodsNumerical methods in engineering